4776960 has 88 divisors (see below), whose sum is σ = 15327936. Its totient is φ = 1269760.

The previous prime is 4776953. The next prime is 4776977. The reversal of 4776960 is 696774.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15205 + ... + 15515.

Almost surely, 2^4776960 is an apocalyptic number.

4776960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663968).

4776960 is an abundant number, since it is smaller than the sum of its proper divisors (10550976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4776960 is a wasteful number, since it uses less digits than its factorization.

4776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 4776960 is about 2185.6257685157. The cubic root of 4776960 is about 168.4162016147.

The spelling of 4776960 in words is "four million, seven hundred seventy-six thousand, nine hundred sixty".